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Finding the Third Proportional to 288,483 and 627,763

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Solution

The third proportional to 288,483 and 627,763 is: 1,366,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,483 : 627,763 = 627,763 : x
  2. Step 2: Convert to fraction form
    288,483/627,763 = 627,763/x
  3. Step 3: Cross multiply
    288,483x = 627,763 × 627,763
  4. Step 4: Simplify right side
    288,483x = 394,086,384,169
  5. Step 5: Solve for x
    x = 394,086,384,169/288,483
  6. Step 6: Final answer
    x = 1,366,064.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.